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Finding the Fourth Proportional to 858.75, 1,185.09 and 509.52

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Solution

The fourth proportional to 858.75, 1,185.09 and 509.52 is: 703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.75 : 1,185.09 = 509.52 : x
  2. Step 2: Convert to fraction form
    858.75/1,185.09 = 509.52/x
  3. Step 3: Cross multiply
    858.75x = 1,185.09 × 509.52
  4. Step 4: Simplify right side
    858.75x = 603,827.06
  5. Step 5: Solve for x
    x = 603,827.06/858.75
  6. Step 6: Final answer
    x = 703.15

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.